5263526772000 has 1152 divisors, whose sum is σ = 22226422353408. Its totient is φ = 1198374912000.

The previous prime is 5263526771989. The next prime is 5263526772013. The reversal of 5263526772000 is 2776253625.

5263526772000 is a `hidden beast` number, since 5 + 2 + 635 + 2 + 6 + 7 + 7 + 2 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1911922624 + ... + 1911925376.

It is an arithmetic number, because the mean of its divisors is an integer number (19293769404).

Almost surely, 2^{5263526772000} is an apocalyptic number.

5263526772000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5263526772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113211176704).

5263526772000 is an abundant number, since it is smaller than the sum of its proper divisors (16962895581408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5263526772000 is a wasteful number, since it uses less digits than its factorization.

5263526772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 5263526772000 in words is "five trillion, two hundred sixty-three billion, five hundred twenty-six million, seven hundred seventy-two thousand".